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Table 4 Fitting of the global alignment scores of the LS sequence set generated with different window sizes. The sequence length is 200aa and all alignments were carried out with the BLOSUM62 matrix with an affine gap penalty of -7/-1. Global alignment scores were fitted to the gamma and normal distribution respectively.

From: Statistical distributions of optimal global alignment scores of random protein sequences

window

fitted gamma distribution

fitted normal distribution

score

size

γ

λ

μ

d.f.

χ 2

p-value

d.f.

χ 2

mean

variance

5aa

13.90

0.39

-40.14

9

9.82

0.36

10

239.33

-4.73

90.14

10aa

11.19

0.37

-29.01

10

12.13

0.28

11

236.91

0.99

80.40

15aa

10.60

0.35

-20.57

8

9.31

0.32

9

277.47

9.60

85.90

20aa

10.28

0.36

-16.85

13

17.04

0.19

14

334.87

11.93

80.56